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Finding the Fourth Proportional to 5,141.15, 7,707 and 1,853.44

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Solution

The fourth proportional to 5,141.15, 7,707 and 1,853.44 is: 2,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.15 : 7,707 = 1,853.44 : x
  2. Step 2: Convert to fraction form
    5,141.15/7,707 = 1,853.44/x
  3. Step 3: Cross multiply
    5,141.15x = 7,707 × 1,853.44
  4. Step 4: Simplify right side
    5,141.15x = 14,284,462.08
  5. Step 5: Solve for x
    x = 14,284,462.08/5,141.15
  6. Step 6: Final answer
    x = 2,778.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.